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Math Help - Simplifying a radical

  1. #1
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    Simplifying a radical

    Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

    Can anyone help :S?

    5√2187x^8 y^29

    p.s the 5 is supposed to be the 5th root to the numbers inside.
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  2. #2
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    re: Simplifying a radical

    Quote Originally Posted by math121 View Post
    Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

    Can anyone help :S?

    5√2187x^8 y^29

    p.s the 5 is supposed to be the 5th root to the numbers inside.
    \sqrt[5]{3^7 \cdot x^8 \cdot y^{29}} = \sqrt[5]{3^5 \cdot 3^2 \cdot x^5 \cdot x^3 \cdot y^{25} \cdot y^4}

    Surely you have some idea what to do. I've done the difficult part for you, now finish it.
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  3. #3
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    Re: Can anybody help me with this math question? No idea what to do.

    Quote Originally Posted by math121 View Post
    Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.
    5√2187x^8 y^29
    \sqrt[5]{{2187x^8 y^{29} }} = \sqrt[5]{{3^7 x^8 y^{29} }} = 3xy^5 \sqrt[5]{{9x^3 y^4 }}
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    Re: Simplifying a radical

    I honestly do not know, thats why i am asking
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  5. #5
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    Re: Simplifying a radical

    Quote Originally Posted by math121 View Post
    I honestly do not know, thats why i am asking
    then you need to see some lessons on the topic ...

    Simplifying Radical Expressions1 | Algebra I Worked Examples | Khan Academy
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    Re: Simplifying a radical

    3xy^4?
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    Re: Simplifying a radical

    Quote Originally Posted by math121 View Post
    3xy^4?
    Plato completed the problem for you in post #3
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  8. #8
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    Re: Simplifying a radical

    Hi math121,

    Maybe this might help you

    5th root of x^8=(x^8)^1/5=(x^5*x^3)^1/5=x*x^3/5= x* 5th root ofx^3
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